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Browsing Mathematics by Subject "order of convergence"

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BEBERAPA METODE ITERASI ORDE TIGA DAN ORDE EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Sulastri, Neli (2016-02-04)

This article discusses the iterative method by combining two Newton’s methods where the second step of Newton’s method is given a weighted function. By pro- viding specific requirements for this weighting function, it ...
FAMILI METODE ITERASI DENGAN KEKONVERGENAN ORDE TIGA

Rahmawati; M., Imran (2017-01-12)

In this paper, a new iterative method for solving a nonlinear equation is derived. Using Taylor expansion and geometry series, it is shown that the method has a third-order of convergence. Numerical comparisons show that ...
GENERALISASI RATA-RATA PANGKAT METODE NEWTON

Amrullah, Haikal; Aziskhan (2016-02-04)

This article discusses the generalized power mean modification of Newton’s method to solve nonlinear equations obtained by modifying Newton’s method using a trapezoidal quadrature formula. It is analytically demonstrated ...
KELUARGA BARU METODE ITERASI BERORDE LIMA UNTUK MENENTUKAN AKAR SEDERHANA PERSAMAAN NONLINEAR

Kurniawan, Rio (2016-05-23)

This article discusses iterative methods formed by combining Newton's method and an iterative method with a correction function that depends on the value of the function and values of the two derivative functions. ...
KELUARGA BARU METODE ITERASI OPTIMAL ORDE EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Liana, Ema Vika (Elfitra, 2023-11)

This article project discusses a new family of optimal fourth-order iterative method to solve a nonlinear equation. Analytically using the Taylor expansion and geometric series that the iterative method has a convergence ...
KOMBINASI METODE ABABNEH DAN METODE NEWTON DENGAN ORDE KONVERGENSI OPTIMAL UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Kaini, Iska Lailatul (wahyu sari yeni, 2019-07-22)

This article discusses an iterative method for solving nonlinear equations, by com- bining Ababneh's iterative method of order four with Newton's iterative method. The method has eight order of convergence with three ...
KOMBINASI METODE HALLEY DAN POTRA PTAK DENGAN ORDE KONVERGENSI SEMBILAN UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Andini, Riska Mulia (Elfitra, 2022-07)

This article discusses the combination of the Halley and Potra-Ptak (MHP) methods which are the result of the combination of two iteration methods, namely the Halley and Potra-Ptak methods to solve nonlinear equations. ...
METODE BERTIPE NEWTON DENGAN ORDE KONVERGENSI (k+2) UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR BERTIPE f (0)=0

Pratama, Ilham Mulya (wahyu sari yeni, 2019-07-22)

This article discusses Newton-type methods with (k + 2) order of convergence for solving a nonlinear equation of type f(0) = 0, where k is the number of terms in the generating series. The Newton-type methods require two ...
METODE BERTIPE SCHRODER BERORDE EMPAT UNTUK MENEMUKAN AKAR GANDA PERSAMAAN NONLINEAR

Rasida, Melia (wahyu sari yeni, 2019-01-31)

This article discusses a new Schroder-type method to approximate a multiple root of the nonlinear equations. The proposed method has fourth order convergence and requires ve function evaluations per iteration. Through ...
METODE BERTIPE SCHRODER ORDE TIGA UNTUK MENCARI AKAR GANDA DENGAN MULTIPLISITAS TAK DIKETAHUI

Effendi, Diana (wahyu sari yeni, 2019-01-14)

This article discusses a new Schroder-type method for finding a multiple root of nonlinear equations. The method has a third order convergence and requires four function evaluations per iteration. Through computational ...
METODE CHEBYSHEV-HALLEY DENGAN KEKONVERGENAN ORDE DELAPAN UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Apriliana, Anisa Rizky; Putra, Supriadi (2017-01-09)

This article discusses a new iterative method obtained by combination Cheby shev-Halley method and Newton method. Analytically it is showed that the method at least sixth order convergence and its efficiency index is ...
METODE HALLEY DUA-TITIK BERORDE ENAM UNTUK AKAR SEDERHANA

Aini, Sifaul (2018-03-07)

This article discusses the modifications of Halley’s method using Taylor’s expansion of second order to solve nonlinear equations. The modification of Halley’s method is divided into two cases. Both of modifications of ...
METODE HOMEIER-NEWTON DENGAN ORDE KONVERGENSI ENAM UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Sari, Dhita Aulifia Besta (Elfitra, 2023-11)

This article discusses a three-step iteration method obtained from the third-order Homeier method by adding a Newton step and approximating the derivative in last step of iteration by using linear interpolation. Convergence ...
METODE ITERASI BARU BERTIPE SECANT DENGAN KEKONVERGENAN SUPER-LINEAR

Rino Martino (2016-02-04)

A family of secant-like method with a parameter to solve a nonlinear equation is discussed in this article. This method has super-linear convergence, (1 + p 5)=2. Furthermore, the numerical computation shows that the ...
METODE ITERASI BEBAS TURUNAN BERDASARKAN KOMBINASI KOEFISIEN TAK TENTU DAN FORWARD DIFFERENCE UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Mahrani; Imran, M.; Agusni (2013-06-10)

We discuss an iterative method to solve a nonlinear equation, which is free from derivatives by approximating a derivative in the two-step Newton method by the method of undetermined coefficients and forward difference. ...
METODE ITERASI BEBAS TURUNAN DENGAN TEKNIK SPLITTING UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Hudiyani, Sefiya (Elfitra, 2023-11)

This article discusses a new iterative method that is derivative-free and is obtained by converting a single nonlinear equation to a system consisting of two equations. By using the splitting method, a sufficient conditions ...
METODE ITERASI BEBAS TURUNAN KEDUA OPTIMAL DENGAN ORDE KONVERGENSI EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Kurniawan, Arifin (Elfitra, 2023-11)

This article discusses the optimal second derivative-free iterative method to solve nonlinear equations obtained by approximating the second derivative of the Noor- Noor-Momani method using quadratic and cubic polynomials. ...
METODE ITERASI BERORDE KONVERGENSI EMPAT BERDASARKAN PECAHAN KONTINU THIELE

Situmorang, Lusi Kristina (2016-04-27)

This article discusses a new one-step iterative methods based on Thiele's Continued Fraction by applying the third trucanted Thiele's Continued Fraction for solving equations. Analytically it is shown that the iterative ...
METODE ITERASI KELUARGA CHEBYSHEV-HALLEY UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Purnama, Yuli Syafti (2016-04-27)

This article discusses the family of Chebyshev-Halley iterative method with two parameters obtained through a linear combination of the Newton methods with one parameter. Analytically it is shown that this method of order ...
METODE ITERASI OPTIMAL ORDE EMPAT MENGGUNAKAN METODE JARRATT DAN FUNGSI PEMBOBOT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Zahra, Annisa (Elfitra, 2023-06)

This article discusses the new iterative method using weight function and Jarratt’s method for solving nonlinear equations. The convergence analysis using Taylor expansion shows that the proposed method has a fourth order ...

Browsing Mathematics by Subject "order of convergence"

Browsing Mathematics by Subject "order of convergence"

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